Properties

Label 392.2.z.a.109.3
Level $392$
Weight $2$
Character 392.109
Analytic conductor $3.130$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 392 = 2^{3} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 392.z (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.13013575923\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 109.3
Character \(\chi\) \(=\) 392.109
Dual form 392.2.z.a.205.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.41164 - 0.0853275i) q^{2} +(-0.290045 - 1.92432i) q^{3} +(1.98544 + 0.240903i) q^{4} +(-1.10812 - 0.434904i) q^{5} +(0.245241 + 2.74119i) q^{6} +(1.77530 + 1.96171i) q^{7} +(-2.78216 - 0.509480i) q^{8} +(-0.752171 + 0.232014i) q^{9} +O(q^{10})\) \(q+(-1.41164 - 0.0853275i) q^{2} +(-0.290045 - 1.92432i) q^{3} +(1.98544 + 0.240903i) q^{4} +(-1.10812 - 0.434904i) q^{5} +(0.245241 + 2.74119i) q^{6} +(1.77530 + 1.96171i) q^{7} +(-2.78216 - 0.509480i) q^{8} +(-0.752171 + 0.232014i) q^{9} +(1.52715 + 0.708479i) q^{10} +(1.15441 - 3.74250i) q^{11} +(-0.112291 - 3.89050i) q^{12} +(4.65240 - 1.06188i) q^{13} +(-2.33870 - 2.92070i) q^{14} +(-0.515491 + 2.25851i) q^{15} +(3.88393 + 0.956596i) q^{16} +(2.11461 - 1.44172i) q^{17} +(1.08159 - 0.263339i) q^{18} +(-3.04750 + 1.75947i) q^{19} +(-2.09533 - 1.13042i) q^{20} +(3.26004 - 3.98524i) q^{21} +(-1.94894 + 5.18455i) q^{22} +(-3.64260 - 2.48348i) q^{23} +(-0.173451 + 5.50155i) q^{24} +(-2.62648 - 2.43702i) q^{25} +(-6.65811 + 1.10201i) q^{26} +(-1.86846 - 3.87989i) q^{27} +(3.05218 + 4.32252i) q^{28} +(-2.00797 + 4.16959i) q^{29} +(0.920400 - 3.14422i) q^{30} +(1.49610 - 2.59132i) q^{31} +(-5.40108 - 1.68177i) q^{32} +(-7.53661 - 1.13596i) q^{33} +(-3.10808 + 1.85475i) q^{34} +(-1.11409 - 2.94589i) q^{35} +(-1.54928 + 0.279449i) q^{36} +(1.67124 - 0.125242i) q^{37} +(4.45209 - 2.22370i) q^{38} +(-3.39281 - 8.64473i) q^{39} +(2.86138 + 1.77454i) q^{40} +(1.46431 + 1.83619i) q^{41} +(-4.94204 + 5.34754i) q^{42} +(-6.23910 - 4.97552i) q^{43} +(3.19359 - 7.15240i) q^{44} +(0.934397 + 0.0700234i) q^{45} +(4.93012 + 3.81659i) q^{46} +(8.15459 - 7.56636i) q^{47} +(0.714284 - 7.75139i) q^{48} +(-0.696588 + 6.96525i) q^{49} +(3.49969 + 3.66429i) q^{50} +(-3.38766 - 3.65103i) q^{51} +(9.49287 - 0.987521i) q^{52} +(-0.517548 - 0.0387849i) q^{53} +(2.30652 + 5.63642i) q^{54} +(-2.90684 + 3.64507i) q^{55} +(-3.93974 - 6.36227i) q^{56} +(4.26970 + 5.35404i) q^{57} +(3.19030 - 5.71461i) q^{58} +(9.32841 - 3.66113i) q^{59} +(-1.56756 + 4.35996i) q^{60} +(3.74141 - 0.280380i) q^{61} +(-2.33306 + 3.53035i) q^{62} +(-1.79048 - 1.06364i) q^{63} +(7.48086 + 2.83491i) q^{64} +(-5.61722 - 0.846659i) q^{65} +(10.5420 + 2.24664i) q^{66} +(-9.58971 - 5.53662i) q^{67} +(4.54574 - 2.35302i) q^{68} +(-3.72250 + 7.72985i) q^{69} +(1.32133 + 4.25358i) q^{70} +(-7.89455 + 3.80181i) q^{71} +(2.21087 - 0.262285i) q^{72} +(1.56628 + 1.45330i) q^{73} +(-2.36987 + 0.0341936i) q^{74} +(-3.92781 + 5.76104i) q^{75} +(-6.47448 + 2.75917i) q^{76} +(9.39111 - 4.37947i) q^{77} +(4.05178 + 12.4927i) q^{78} +(6.40251 + 11.0895i) q^{79} +(-3.88782 - 2.74915i) q^{80} +(-8.87532 + 6.05109i) q^{81} +(-1.91040 - 2.71697i) q^{82} +(-5.80506 - 1.32497i) q^{83} +(7.43266 - 7.12710i) q^{84} +(-2.97024 + 0.677938i) q^{85} +(8.38280 + 7.55599i) q^{86} +(8.60604 + 2.65461i) q^{87} +(-5.11848 + 9.82410i) q^{88} +(7.80157 - 2.40646i) q^{89} +(-1.31305 - 0.178577i) q^{90} +(10.3425 + 7.24149i) q^{91} +(-6.63388 - 5.80831i) q^{92} +(-5.42048 - 2.12738i) q^{93} +(-12.1569 + 9.98514i) q^{94} +(4.14218 - 0.624333i) q^{95} +(-1.66972 + 10.8812i) q^{96} +12.3467 q^{97} +(1.57766 - 9.77297i) q^{98} +3.08284i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 13 q^{2} - 13 q^{4} - 6 q^{6} - 24 q^{7} - 16 q^{8} - 76 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 648 q - 13 q^{2} - 13 q^{4} - 6 q^{6} - 24 q^{7} - 16 q^{8} - 76 q^{9} - 6 q^{10} - 47 q^{12} - 33 q^{14} - 8 q^{15} - 17 q^{16} - 26 q^{17} - 8 q^{18} - 22 q^{20} - 18 q^{22} - 26 q^{23} - 74 q^{24} - 72 q^{25} - 12 q^{26} + 2 q^{28} - 11 q^{30} + 60 q^{31} - 13 q^{32} - 14 q^{33} - 18 q^{34} + 8 q^{36} - 46 q^{38} - 32 q^{39} + 32 q^{40} - 20 q^{41} - 36 q^{42} + 38 q^{44} - 22 q^{46} - 58 q^{47} + 28 q^{48} - 16 q^{49} - 132 q^{50} + 18 q^{52} - 37 q^{54} - 32 q^{55} + 96 q^{56} - 66 q^{57} + 100 q^{60} + 28 q^{62} - 72 q^{63} - 28 q^{64} - 36 q^{65} - 4 q^{66} - 11 q^{68} - 36 q^{70} + 60 q^{71} - 130 q^{72} - 18 q^{73} - 12 q^{74} + 11 q^{76} - 132 q^{78} - 12 q^{79} - 64 q^{80} - 58 q^{81} + 152 q^{82} - 224 q^{84} + 55 q^{86} - 8 q^{87} - 169 q^{88} - 18 q^{89} + 144 q^{90} - 54 q^{92} + 154 q^{94} - 64 q^{95} - 142 q^{96} - 96 q^{97} + 151 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/392\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(297\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{20}{21}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.41164 0.0853275i −0.998178 0.0603356i
\(3\) −0.290045 1.92432i −0.167457 1.11101i −0.901776 0.432203i \(-0.857736\pi\)
0.734319 0.678805i \(-0.237502\pi\)
\(4\) 1.98544 + 0.240903i 0.992719 + 0.120451i
\(5\) −1.10812 0.434904i −0.495565 0.194495i 0.104378 0.994538i \(-0.466715\pi\)
−0.599943 + 0.800043i \(0.704810\pi\)
\(6\) 0.245241 + 2.74119i 0.100119 + 1.11909i
\(7\) 1.77530 + 1.96171i 0.671002 + 0.741456i
\(8\) −2.78216 0.509480i −0.983643 0.180128i
\(9\) −0.752171 + 0.232014i −0.250724 + 0.0773380i
\(10\) 1.52715 + 0.708479i 0.482927 + 0.224041i
\(11\) 1.15441 3.74250i 0.348067 1.12841i −0.597195 0.802096i \(-0.703718\pi\)
0.945263 0.326310i \(-0.105805\pi\)
\(12\) −0.112291 3.89050i −0.0324158 1.12309i
\(13\) 4.65240 1.06188i 1.29034 0.294513i 0.478345 0.878172i \(-0.341237\pi\)
0.811999 + 0.583659i \(0.198380\pi\)
\(14\) −2.33870 2.92070i −0.625043 0.780590i
\(15\) −0.515491 + 2.25851i −0.133099 + 0.583146i
\(16\) 3.88393 + 0.956596i 0.970983 + 0.239149i
\(17\) 2.11461 1.44172i 0.512868 0.349668i −0.279068 0.960271i \(-0.590026\pi\)
0.791936 + 0.610604i \(0.209073\pi\)
\(18\) 1.08159 0.263339i 0.254933 0.0620695i
\(19\) −3.04750 + 1.75947i −0.699144 + 0.403651i −0.807028 0.590513i \(-0.798926\pi\)
0.107885 + 0.994163i \(0.465592\pi\)
\(20\) −2.09533 1.13042i −0.468529 0.252770i
\(21\) 3.26004 3.98524i 0.711399 0.869651i
\(22\) −1.94894 + 5.18455i −0.415516 + 1.10535i
\(23\) −3.64260 2.48348i −0.759534 0.517842i 0.120522 0.992711i \(-0.461543\pi\)
−0.880057 + 0.474869i \(0.842495\pi\)
\(24\) −0.173451 + 5.50155i −0.0354056 + 1.12300i
\(25\) −2.62648 2.43702i −0.525296 0.487403i
\(26\) −6.65811 + 1.10201i −1.30576 + 0.216122i
\(27\) −1.86846 3.87989i −0.359584 0.746685i
\(28\) 3.05218 + 4.32252i 0.576807 + 0.816880i
\(29\) −2.00797 + 4.16959i −0.372871 + 0.774274i −0.999989 0.00465011i \(-0.998520\pi\)
0.627119 + 0.778924i \(0.284234\pi\)
\(30\) 0.920400 3.14422i 0.168041 0.574053i
\(31\) 1.49610 2.59132i 0.268708 0.465416i −0.699821 0.714319i \(-0.746737\pi\)
0.968528 + 0.248903i \(0.0800700\pi\)
\(32\) −5.40108 1.68177i −0.954785 0.297298i
\(33\) −7.53661 1.13596i −1.31195 0.197745i
\(34\) −3.10808 + 1.85475i −0.533031 + 0.318086i
\(35\) −1.11409 2.94589i −0.188316 0.497945i
\(36\) −1.54928 + 0.279449i −0.258214 + 0.0465749i
\(37\) 1.67124 0.125242i 0.274750 0.0205896i 0.0633572 0.997991i \(-0.479819\pi\)
0.211392 + 0.977401i \(0.432200\pi\)
\(38\) 4.45209 2.22370i 0.722225 0.360732i
\(39\) −3.39281 8.64473i −0.543284 1.38426i
\(40\) 2.86138 + 1.77454i 0.452425 + 0.280579i
\(41\) 1.46431 + 1.83619i 0.228687 + 0.286764i 0.882915 0.469533i \(-0.155578\pi\)
−0.654228 + 0.756297i \(0.727006\pi\)
\(42\) −4.94204 + 5.34754i −0.762573 + 0.825144i
\(43\) −6.23910 4.97552i −0.951454 0.758760i 0.0190561 0.999818i \(-0.493934\pi\)
−0.970510 + 0.241059i \(0.922505\pi\)
\(44\) 3.19359 7.15240i 0.481451 1.07827i
\(45\) 0.934397 + 0.0700234i 0.139292 + 0.0104385i
\(46\) 4.93012 + 3.81659i 0.726906 + 0.562725i
\(47\) 8.15459 7.56636i 1.18947 1.10367i 0.197098 0.980384i \(-0.436848\pi\)
0.992372 0.123283i \(-0.0393421\pi\)
\(48\) 0.714284 7.75139i 0.103098 1.11882i
\(49\) −0.696588 + 6.96525i −0.0995126 + 0.995036i
\(50\) 3.49969 + 3.66429i 0.494931 + 0.518209i
\(51\) −3.38766 3.65103i −0.474367 0.511246i
\(52\) 9.49287 0.987521i 1.31642 0.136945i
\(53\) −0.517548 0.0387849i −0.0710907 0.00532751i 0.0391372 0.999234i \(-0.487539\pi\)
−0.110228 + 0.993906i \(0.535158\pi\)
\(54\) 2.30652 + 5.63642i 0.313878 + 0.767020i
\(55\) −2.90684 + 3.64507i −0.391959 + 0.491501i
\(56\) −3.93974 6.36227i −0.526469 0.850194i
\(57\) 4.26970 + 5.35404i 0.565536 + 0.709160i
\(58\) 3.19030 5.71461i 0.418908 0.750366i
\(59\) 9.32841 3.66113i 1.21446 0.476639i 0.330320 0.943869i \(-0.392843\pi\)
0.884136 + 0.467230i \(0.154748\pi\)
\(60\) −1.56756 + 4.35996i −0.202371 + 0.562868i
\(61\) 3.74141 0.280380i 0.479039 0.0358990i 0.166977 0.985961i \(-0.446599\pi\)
0.312062 + 0.950062i \(0.398980\pi\)
\(62\) −2.33306 + 3.53035i −0.296299 + 0.448355i
\(63\) −1.79048 1.06364i −0.225579 0.134007i
\(64\) 7.48086 + 2.83491i 0.935108 + 0.354364i
\(65\) −5.61722 0.846659i −0.696730 0.105015i
\(66\) 10.5420 + 2.24664i 1.29763 + 0.276543i
\(67\) −9.58971 5.53662i −1.17157 0.676406i −0.217520 0.976056i \(-0.569797\pi\)
−0.954049 + 0.299650i \(0.903130\pi\)
\(68\) 4.54574 2.35302i 0.551252 0.285346i
\(69\) −3.72250 + 7.72985i −0.448137 + 0.930565i
\(70\) 1.32133 + 4.25358i 0.157929 + 0.508400i
\(71\) −7.89455 + 3.80181i −0.936911 + 0.451192i −0.839078 0.544011i \(-0.816905\pi\)
−0.0978322 + 0.995203i \(0.531191\pi\)
\(72\) 2.21087 0.262285i 0.260553 0.0309106i
\(73\) 1.56628 + 1.45330i 0.183319 + 0.170096i 0.766494 0.642251i \(-0.221999\pi\)
−0.583175 + 0.812347i \(0.698190\pi\)
\(74\) −2.36987 + 0.0341936i −0.275491 + 0.00397493i
\(75\) −3.92781 + 5.76104i −0.453544 + 0.665227i
\(76\) −6.47448 + 2.75917i −0.742674 + 0.316499i
\(77\) 9.39111 4.37947i 1.07022 0.499086i
\(78\) 4.05178 + 12.4927i 0.458773 + 1.41452i
\(79\) 6.40251 + 11.0895i 0.720338 + 1.24766i 0.960864 + 0.277020i \(0.0893468\pi\)
−0.240526 + 0.970643i \(0.577320\pi\)
\(80\) −3.88782 2.74915i −0.434672 0.307365i
\(81\) −8.87532 + 6.05109i −0.986147 + 0.672343i
\(82\) −1.91040 2.71697i −0.210968 0.300040i
\(83\) −5.80506 1.32497i −0.637188 0.145434i −0.108290 0.994119i \(-0.534538\pi\)
−0.528898 + 0.848685i \(0.677395\pi\)
\(84\) 7.43266 7.12710i 0.810970 0.777630i
\(85\) −2.97024 + 0.677938i −0.322168 + 0.0735327i
\(86\) 8.38280 + 7.55599i 0.903941 + 0.814784i
\(87\) 8.60604 + 2.65461i 0.922664 + 0.284604i
\(88\) −5.11848 + 9.82410i −0.545632 + 1.04725i
\(89\) 7.80157 2.40646i 0.826964 0.255085i 0.147750 0.989025i \(-0.452797\pi\)
0.679214 + 0.733940i \(0.262321\pi\)
\(90\) −1.31305 0.178577i −0.138408 0.0188237i
\(91\) 10.3425 + 7.24149i 1.08419 + 0.759114i
\(92\) −6.63388 5.80831i −0.691630 0.605558i
\(93\) −5.42048 2.12738i −0.562078 0.220599i
\(94\) −12.1569 + 9.98514i −1.25389 + 1.02989i
\(95\) 4.14218 0.624333i 0.424979 0.0640553i
\(96\) −1.66972 + 10.8812i −0.170415 + 1.11056i
\(97\) 12.3467 1.25361 0.626807 0.779175i \(-0.284362\pi\)
0.626807 + 0.779175i \(0.284362\pi\)
\(98\) 1.57766 9.77297i 0.159367 0.987219i
\(99\) 3.08284i 0.309837i
\(100\) −4.62763 5.47127i −0.462763 0.547127i
\(101\) 2.12535 + 14.1007i 0.211480 + 1.40308i 0.802612 + 0.596502i \(0.203443\pi\)
−0.591132 + 0.806575i \(0.701319\pi\)
\(102\) 4.47061 + 5.44299i 0.442656 + 0.538936i
\(103\) 6.17267 15.7277i 0.608211 1.54970i −0.211778 0.977318i \(-0.567925\pi\)
0.819989 0.572379i \(-0.193979\pi\)
\(104\) −13.4847 + 0.584019i −1.32229 + 0.0572677i
\(105\) −5.34570 + 2.99831i −0.521687 + 0.292605i
\(106\) 0.727281 + 0.0989113i 0.0706398 + 0.00960711i
\(107\) 2.72987 + 8.85002i 0.263906 + 0.855564i 0.986425 + 0.164212i \(0.0525082\pi\)
−0.722519 + 0.691352i \(0.757016\pi\)
\(108\) −2.77503 8.15339i −0.267027 0.784561i
\(109\) 1.82393 5.91302i 0.174700 0.566365i −0.825298 0.564697i \(-0.808993\pi\)
0.999999 0.00166754i \(-0.000530794\pi\)
\(110\) 4.41443 4.89748i 0.420900 0.466956i
\(111\) −0.725739 3.17967i −0.0688841 0.301801i
\(112\) 5.01860 + 9.31738i 0.474213 + 0.880410i
\(113\) −3.49296 + 15.3037i −0.328590 + 1.43965i 0.493230 + 0.869899i \(0.335816\pi\)
−0.821820 + 0.569747i \(0.807041\pi\)
\(114\) −5.57043 7.92228i −0.521718 0.741990i
\(115\) 2.95635 + 4.33616i 0.275681 + 0.404349i
\(116\) −4.99117 + 7.79474i −0.463418 + 0.723724i
\(117\) −3.25303 + 1.87814i −0.300743 + 0.173634i
\(118\) −13.4807 + 4.37222i −1.24100 + 0.402495i
\(119\) 6.58230 + 1.58876i 0.603398 + 0.145641i
\(120\) 2.58485 6.02092i 0.235963 0.549632i
\(121\) −3.58502 2.44423i −0.325911 0.222202i
\(122\) −5.30544 + 0.0765496i −0.480332 + 0.00693047i
\(123\) 3.10870 3.35038i 0.280302 0.302094i
\(124\) 3.59468 4.78450i 0.322811 0.429661i
\(125\) 4.43306 + 9.20535i 0.396505 + 0.823351i
\(126\) 2.43674 + 1.65426i 0.217082 + 0.147373i
\(127\) 14.5236 + 6.99417i 1.28876 + 0.620633i 0.947626 0.319383i \(-0.103476\pi\)
0.341131 + 0.940016i \(0.389190\pi\)
\(128\) −10.3184 4.64019i −0.912023 0.410139i
\(129\) −7.76488 + 13.4492i −0.683660 + 1.18413i
\(130\) 7.85723 + 1.67448i 0.689125 + 0.146862i
\(131\) −1.41227 + 9.36979i −0.123390 + 0.818642i 0.838440 + 0.544994i \(0.183468\pi\)
−0.961830 + 0.273647i \(0.911770\pi\)
\(132\) −14.6898 4.07097i −1.27858 0.354332i
\(133\) −8.86181 2.85470i −0.768416 0.247533i
\(134\) 13.0648 + 8.63396i 1.12862 + 0.745861i
\(135\) 0.383089 + 5.11196i 0.0329710 + 0.439968i
\(136\) −6.61771 + 2.93374i −0.567464 + 0.251566i
\(137\) −5.55591 14.1562i −0.474673 1.20945i −0.945034 0.326973i \(-0.893971\pi\)
0.470360 0.882474i \(-0.344124\pi\)
\(138\) 5.91439 10.5941i 0.503466 0.901831i
\(139\) −4.67166 + 3.72552i −0.396245 + 0.315995i −0.801261 0.598315i \(-0.795837\pi\)
0.405016 + 0.914309i \(0.367266\pi\)
\(140\) −1.50229 6.11726i −0.126966 0.517003i
\(141\) −16.9253 13.4975i −1.42537 1.13669i
\(142\) 11.4686 4.69316i 0.962427 0.393841i
\(143\) 1.39668 18.6375i 0.116797 1.55854i
\(144\) −3.14332 + 0.181603i −0.261944 + 0.0151336i
\(145\) 4.03843 3.74712i 0.335374 0.311181i
\(146\) −2.08702 2.18518i −0.172723 0.180846i
\(147\) 13.6054 0.679777i 1.12216 0.0560671i
\(148\) 3.34831 + 0.153946i 0.275229 + 0.0126543i
\(149\) 12.6620 + 13.6464i 1.03731 + 1.11796i 0.992901 + 0.118945i \(0.0379513\pi\)
0.0444131 + 0.999013i \(0.485858\pi\)
\(150\) 6.03621 7.79734i 0.492855 0.636650i
\(151\) −0.411488 + 5.49092i −0.0334864 + 0.446845i 0.955110 + 0.296253i \(0.0957370\pi\)
−0.988596 + 0.150592i \(0.951882\pi\)
\(152\) 9.37505 3.34250i 0.760417 0.271113i
\(153\) −1.25605 + 1.57504i −0.101546 + 0.127334i
\(154\) −13.6305 + 5.38090i −1.09838 + 0.433605i
\(155\) −2.78483 + 2.22083i −0.223683 + 0.178381i
\(156\) −4.65367 17.9809i −0.372592 1.43963i
\(157\) −6.18392 + 2.42701i −0.493530 + 0.193696i −0.599036 0.800722i \(-0.704449\pi\)
0.105505 + 0.994419i \(0.466354\pi\)
\(158\) −8.09178 16.2006i −0.643747 1.28885i
\(159\) 0.0754776 + 1.00718i 0.00598576 + 0.0798745i
\(160\) 5.25361 + 4.21255i 0.415335 + 0.333031i
\(161\) −1.59486 11.5546i −0.125692 0.910634i
\(162\) 13.0451 7.78463i 1.02492 0.611619i
\(163\) −1.24761 + 8.27736i −0.0977204 + 0.648333i 0.885325 + 0.464972i \(0.153936\pi\)
−0.983046 + 0.183360i \(0.941302\pi\)
\(164\) 2.46495 + 3.99839i 0.192481 + 0.312222i
\(165\) 7.85740 + 4.53647i 0.611698 + 0.353164i
\(166\) 8.08158 + 2.36570i 0.627253 + 0.183614i
\(167\) −11.2602 5.42265i −0.871344 0.419617i −0.0558883 0.998437i \(-0.517799\pi\)
−0.815455 + 0.578820i \(0.803513\pi\)
\(168\) −11.1004 + 9.42666i −0.856411 + 0.727283i
\(169\) 8.80466 4.24010i 0.677282 0.326162i
\(170\) 4.25075 0.703559i 0.326017 0.0539605i
\(171\) 1.88402 2.03049i 0.144074 0.155275i
\(172\) −11.1887 11.3816i −0.853133 0.867839i
\(173\) 2.37782 3.48762i 0.180782 0.265159i −0.725141 0.688600i \(-0.758226\pi\)
0.905924 + 0.423441i \(0.139178\pi\)
\(174\) −11.9221 4.48168i −0.903811 0.339755i
\(175\) 0.117912 9.47883i 0.00891330 0.716532i
\(176\) 8.06370 13.4313i 0.607824 1.01242i
\(177\) −9.75085 16.8890i −0.732919 1.26945i
\(178\) −11.2183 + 2.73137i −0.840849 + 0.204725i
\(179\) −12.1798 17.8645i −0.910361 1.33525i −0.941950 0.335753i \(-0.891009\pi\)
0.0315892 0.999501i \(-0.489943\pi\)
\(180\) 1.83832 + 0.364126i 0.137020 + 0.0271403i
\(181\) 1.50629 + 0.343801i 0.111962 + 0.0255545i 0.278135 0.960542i \(-0.410284\pi\)
−0.166173 + 0.986097i \(0.553141\pi\)
\(182\) −13.9820 11.1049i −1.03641 0.823147i
\(183\) −1.62472 7.11836i −0.120103 0.526204i
\(184\) 8.86902 + 8.76528i 0.653833 + 0.646185i
\(185\) −1.90639 0.588044i −0.140161 0.0432339i
\(186\) 7.47023 + 3.46561i 0.547744 + 0.254111i
\(187\) −2.95450 9.57825i −0.216054 0.700431i
\(188\) 18.0132 13.0581i 1.31375 0.952357i
\(189\) 4.29413 10.5533i 0.312352 0.767643i
\(190\) −5.90053 + 0.527890i −0.428069 + 0.0382972i
\(191\) −2.03779 + 5.19221i −0.147449 + 0.375695i −0.985448 0.169977i \(-0.945630\pi\)
0.837999 + 0.545673i \(0.183726\pi\)
\(192\) 3.28550 15.2178i 0.237110 1.09825i
\(193\) 10.6741 1.60886i 0.768337 0.115808i 0.246834 0.969058i \(-0.420610\pi\)
0.521503 + 0.853249i \(0.325372\pi\)
\(194\) −17.4290 1.05351i −1.25133 0.0756376i
\(195\) 11.0549i 0.791658i
\(196\) −3.06098 + 13.6613i −0.218642 + 0.975805i
\(197\) 2.11833i 0.150925i −0.997149 0.0754625i \(-0.975957\pi\)
0.997149 0.0754625i \(-0.0240433\pi\)
\(198\) 0.263051 4.35185i 0.0186942 0.309273i
\(199\) −12.5390 + 1.88996i −0.888869 + 0.133975i −0.577574 0.816338i \(-0.696001\pi\)
−0.311294 + 0.950314i \(0.600763\pi\)
\(200\) 6.06568 + 8.11832i 0.428908 + 0.574052i
\(201\) −7.87280 + 20.0596i −0.555304 + 1.41489i
\(202\) −1.79704 20.0865i −0.126439 1.41328i
\(203\) −11.7443 + 3.46325i −0.824286 + 0.243072i
\(204\) −5.84644 8.06499i −0.409333 0.564662i
\(205\) −0.824061 2.67154i −0.0575549 0.186589i
\(206\) −10.0556 + 21.6751i −0.700605 + 1.51018i
\(207\) 3.31606 + 1.02287i 0.230482 + 0.0710943i
\(208\) 19.0854 + 0.326197i 1.32333 + 0.0226177i
\(209\) 3.06677 + 13.4364i 0.212133 + 0.929416i
\(210\) 7.80202 3.77639i 0.538391 0.260595i
\(211\) 21.6885 + 4.95025i 1.49309 + 0.340789i 0.889660 0.456623i \(-0.150941\pi\)
0.603435 + 0.797412i \(0.293798\pi\)
\(212\) −1.01822 0.201684i −0.0699314 0.0138517i
\(213\) 9.60569 + 14.0890i 0.658171 + 0.965359i
\(214\) −3.09844 12.7260i −0.211805 0.869928i
\(215\) 4.74978 + 8.22686i 0.323932 + 0.561067i
\(216\) 3.22162 + 11.7464i 0.219204 + 0.799243i
\(217\) 7.73946 1.66548i 0.525389 0.113060i
\(218\) −3.07926 + 8.19141i −0.208554 + 0.554792i
\(219\) 2.34232 3.43555i 0.158279 0.232153i
\(220\) −6.64947 + 6.53679i −0.448307 + 0.440710i
\(221\) 8.30708 8.95291i 0.558795 0.602238i
\(222\) 0.753167 + 4.55047i 0.0505493 + 0.305407i
\(223\) −9.63843 + 4.64162i −0.645437 + 0.310826i −0.727813 0.685775i \(-0.759463\pi\)
0.0823766 + 0.996601i \(0.473749\pi\)
\(224\) −6.28941 13.5810i −0.420229 0.907418i
\(225\) 2.54098 + 1.22367i 0.169399 + 0.0815782i
\(226\) 6.23661 21.3052i 0.414853 1.41720i
\(227\) 10.7692 + 6.21763i 0.714780 + 0.412678i 0.812828 0.582503i \(-0.197927\pi\)
−0.0980485 + 0.995182i \(0.531260\pi\)
\(228\) 7.18743 + 11.6587i 0.475999 + 0.772116i
\(229\) −3.94116 + 26.1479i −0.260439 + 1.72790i 0.350796 + 0.936452i \(0.385911\pi\)
−0.611235 + 0.791449i \(0.709327\pi\)
\(230\) −3.80330 6.37335i −0.250782 0.420246i
\(231\) −11.1513 16.8013i −0.733705 1.10544i
\(232\) 7.71082 10.5775i 0.506240 0.694444i
\(233\) −1.50368 20.0652i −0.0985090 1.31451i −0.799208 0.601055i \(-0.794747\pi\)
0.700699 0.713457i \(-0.252872\pi\)
\(234\) 4.75236 2.37368i 0.310671 0.155172i
\(235\) −12.3269 + 4.83794i −0.804116 + 0.315592i
\(236\) 19.4030 5.02171i 1.26303 0.326885i
\(237\) 19.4827 15.5369i 1.26554 1.00923i
\(238\) −9.15625 2.80440i −0.593512 0.181782i
\(239\) −9.27210 + 11.6268i −0.599762 + 0.752078i −0.985341 0.170597i \(-0.945430\pi\)
0.385579 + 0.922675i \(0.374002\pi\)
\(240\) −4.16262 + 8.27880i −0.268696 + 0.534394i
\(241\) 1.89431 25.2779i 0.122024 1.62829i −0.514820 0.857298i \(-0.672141\pi\)
0.636844 0.770993i \(-0.280240\pi\)
\(242\) 4.85219 + 3.75626i 0.311910 + 0.241461i
\(243\) 5.43130 + 5.85355i 0.348418 + 0.375505i
\(244\) 7.49589 + 0.344640i 0.479875 + 0.0220633i
\(245\) 3.80111 7.41536i 0.242844 0.473750i
\(246\) −4.67423 + 4.46426i −0.298018 + 0.284631i
\(247\) −12.3098 + 11.4219i −0.783256 + 0.726755i
\(248\) −5.48263 + 6.44725i −0.348147 + 0.409401i
\(249\) −0.865936 + 11.5551i −0.0548764 + 0.732275i
\(250\) −5.47241 13.3729i −0.346105 0.845775i
\(251\) 18.2316 + 14.5392i 1.15077 + 0.917706i 0.997513 0.0704810i \(-0.0224534\pi\)
0.153254 + 0.988187i \(0.451025\pi\)
\(252\) −3.29865 2.54313i −0.207795 0.160202i
\(253\) −13.4995 + 10.7655i −0.848705 + 0.676819i
\(254\) −19.9052 11.1125i −1.24896 0.697260i
\(255\) 2.16607 + 5.51907i 0.135645 + 0.345617i
\(256\) 14.1698 + 7.43070i 0.885616 + 0.464419i
\(257\) 1.22337 + 16.3247i 0.0763117 + 1.01831i 0.895581 + 0.444899i \(0.146761\pi\)
−0.819269 + 0.573409i \(0.805620\pi\)
\(258\) 12.1088 18.3228i 0.753860 1.14073i
\(259\) 3.21264 + 3.05613i 0.199624 + 0.189899i
\(260\) −10.9487 3.03419i −0.679008 0.188173i
\(261\) 0.542933 3.60212i 0.0336067 0.222966i
\(262\) 2.79311 13.1062i 0.172559 0.809706i
\(263\) −14.6725 + 25.4136i −0.904747 + 1.56707i −0.0834904 + 0.996509i \(0.526607\pi\)
−0.821257 + 0.570559i \(0.806727\pi\)
\(264\) 20.3893 + 7.00018i 1.25488 + 0.430831i
\(265\) 0.556636 + 0.268062i 0.0341939 + 0.0164669i
\(266\) 12.2661 + 4.78595i 0.752081 + 0.293445i
\(267\) −6.89362 14.3147i −0.421883 0.876048i
\(268\) −17.7060 13.3028i −1.08157 0.812598i
\(269\) −6.07796 + 6.55048i −0.370580 + 0.399390i −0.890617 0.454753i \(-0.849727\pi\)
0.520038 + 0.854143i \(0.325918\pi\)
\(270\) −0.104591 7.24893i −0.00636522 0.441156i
\(271\) −8.76628 5.97675i −0.532514 0.363062i 0.267012 0.963693i \(-0.413964\pi\)
−0.799526 + 0.600631i \(0.794916\pi\)
\(272\) 9.59214 3.57670i 0.581609 0.216869i
\(273\) 10.9352 22.0027i 0.661826 1.33166i
\(274\) 6.63501 + 20.4575i 0.400836 + 1.23588i
\(275\) −12.1526 + 7.01629i −0.732827 + 0.423098i
\(276\) −9.25294 + 14.4504i −0.556962 + 0.869811i
\(277\) −2.77833 4.07507i −0.166934 0.244847i 0.733652 0.679526i \(-0.237814\pi\)
−0.900586 + 0.434679i \(0.856862\pi\)
\(278\) 6.91257 4.86046i 0.414588 0.291511i
\(279\) −0.524101 + 2.29624i −0.0313771 + 0.137472i
\(280\) 1.59871 + 8.76354i 0.0955413 + 0.523722i
\(281\) −5.01512 21.9727i −0.299177 1.31078i −0.871356 0.490651i \(-0.836759\pi\)
0.572179 0.820128i \(-0.306098\pi\)
\(282\) 22.7407 + 20.4977i 1.35419 + 1.22062i
\(283\) 3.63787 11.7937i 0.216249 0.701062i −0.780834 0.624738i \(-0.785206\pi\)
0.997083 0.0763237i \(-0.0243182\pi\)
\(284\) −16.5900 + 5.64645i −0.984436 + 0.335055i
\(285\) −2.40284 7.78981i −0.142332 0.461428i
\(286\) −3.56190 + 26.1902i −0.210620 + 1.54866i
\(287\) −1.00246 + 6.13234i −0.0591736 + 0.361980i
\(288\) 4.45273 + 0.0118544i 0.262380 + 0.000698528i
\(289\) −3.81777 + 9.72752i −0.224575 + 0.572207i
\(290\) −6.02053 + 4.94498i −0.353538 + 0.290379i
\(291\) −3.58109 23.7589i −0.209927 1.39277i
\(292\) 2.75965 + 3.26275i 0.161496 + 0.190938i
\(293\) 20.8504i 1.21810i 0.793134 + 0.609048i \(0.208448\pi\)
−0.793134 + 0.609048i \(0.791552\pi\)
\(294\) −19.2639 0.201319i −1.12350 0.0117412i
\(295\) −11.9292 −0.694545
\(296\) −4.71346 0.503018i −0.273964 0.0292373i
\(297\) −16.6774 + 2.51372i −0.967723 + 0.145861i
\(298\) −16.7098 20.3442i −0.967971 1.17851i
\(299\) −19.5840 7.68615i −1.13257 0.444502i
\(300\) −9.18627 + 10.4920i −0.530370 + 0.605754i
\(301\) −1.31580 21.0724i −0.0758414 1.21459i
\(302\) 1.04940 7.71607i 0.0603860 0.444010i
\(303\) 26.5179 8.17970i 1.52342 0.469911i
\(304\) −13.5194 + 3.91845i −0.775389 + 0.224739i
\(305\) −4.26786 1.31646i −0.244377 0.0753802i
\(306\) 1.90748 2.11620i 0.109043 0.120975i
\(307\) −10.1933 + 2.32655i −0.581760 + 0.132783i −0.503266 0.864132i \(-0.667868\pi\)
−0.0784943 + 0.996915i \(0.525011\pi\)
\(308\) 19.7005 6.43281i 1.12254 0.366544i
\(309\) −32.0555 7.31646i −1.82357 0.416219i
\(310\) 4.12067 2.89738i 0.234038 0.164560i
\(311\) −2.60019 + 1.77278i −0.147443 + 0.100525i −0.634795 0.772681i \(-0.718915\pi\)
0.487351 + 0.873206i \(0.337963\pi\)
\(312\) 5.03502 + 25.7796i 0.285052 + 1.45948i
\(313\) 3.28172 + 5.68411i 0.185494 + 0.321285i 0.943743 0.330680i \(-0.107278\pi\)
−0.758249 + 0.651965i \(0.773945\pi\)
\(314\) 8.93654 2.89840i 0.504318 0.163566i
\(315\) 1.52147 + 1.95733i 0.0857253 + 0.110283i
\(316\) 10.0403 + 23.5598i 0.564811 + 1.32534i
\(317\) −8.45911 + 12.4072i −0.475111 + 0.696859i −0.986733 0.162351i \(-0.948092\pi\)
0.511622 + 0.859210i \(0.329045\pi\)
\(318\) −0.0206070 1.42821i −0.00115558 0.0800901i
\(319\) 13.2867 + 12.3282i 0.743911 + 0.690249i
\(320\) −7.05675 6.39486i −0.394484 0.357484i
\(321\) 16.2385 7.82005i 0.906345 0.436473i
\(322\) 1.26543 + 16.4471i 0.0705198 + 0.916558i
\(323\) −3.90760 + 8.11422i −0.217425 + 0.451488i
\(324\) −19.0791 + 9.87598i −1.05995 + 0.548665i
\(325\) −14.8073 8.54897i −0.821359 0.474212i
\(326\) 2.46746 11.5782i 0.136660 0.641255i
\(327\) −11.9076 1.79478i −0.658490 0.0992515i
\(328\) −3.13845 5.85461i −0.173292 0.323267i
\(329\) 29.3199 + 2.56433i 1.61646 + 0.141376i
\(330\) −10.7047 7.07430i −0.589275 0.389428i
\(331\) 16.2772 1.21981i 0.894675 0.0670466i 0.380548 0.924761i \(-0.375735\pi\)
0.514126 + 0.857714i \(0.328116\pi\)
\(332\) −11.2064 4.02910i −0.615031 0.221125i
\(333\) −1.22800 + 0.481954i −0.0672939 + 0.0264109i
\(334\) 15.4327 + 8.61562i 0.844438 + 0.471426i
\(335\) 8.21861 + 10.3058i 0.449031 + 0.563067i
\(336\) 16.4740 12.3599i 0.898732 0.674286i
\(337\) 19.2302 24.1139i 1.04753 1.31357i 0.0996244 0.995025i \(-0.468236\pi\)
0.947909 0.318540i \(-0.103193\pi\)
\(338\) −12.7908 + 5.23420i −0.695727 + 0.284703i
\(339\) 30.4623 + 2.28283i 1.65448 + 0.123986i
\(340\) −6.06055 + 0.630465i −0.328679 + 0.0341917i
\(341\) −7.97092 8.59061i −0.431650 0.465208i
\(342\) −2.83280 + 2.70555i −0.153181 + 0.146300i
\(343\) −14.9004 + 10.9989i −0.804548 + 0.593887i
\(344\) 14.8233 + 17.0214i 0.799217 + 0.917732i
\(345\) 7.48670 6.94665i 0.403071 0.373995i
\(346\) −3.65420 + 4.72036i −0.196451 + 0.253768i
\(347\) 15.1844 + 1.13791i 0.815140 + 0.0610863i 0.475773 0.879568i \(-0.342168\pi\)
0.339367 + 0.940654i \(0.389787\pi\)
\(348\) 16.4473 + 7.34379i 0.881665 + 0.393668i
\(349\) 1.37333 + 1.09520i 0.0735128 + 0.0586245i 0.659557 0.751655i \(-0.270744\pi\)
−0.586044 + 0.810279i \(0.699315\pi\)
\(350\) −0.975253 + 13.3706i −0.0521295 + 0.714689i
\(351\) −12.8128 16.0667i −0.683896 0.857578i
\(352\) −12.5291 + 18.2721i −0.667802 + 0.973905i
\(353\) 7.74842 + 19.7427i 0.412407 + 1.05080i 0.974632 + 0.223812i \(0.0718501\pi\)
−0.562225 + 0.826984i \(0.690055\pi\)
\(354\) 12.3236 + 24.6731i 0.654990 + 1.31136i
\(355\) 10.4015 0.779485i 0.552054 0.0413707i
\(356\) 16.0693 2.89847i 0.851669 0.153618i
\(357\) 1.14812 13.1273i 0.0607650 0.694769i
\(358\) 15.6691 + 26.2574i 0.828139 + 1.38775i
\(359\) −9.54606 1.43884i −0.503822 0.0759389i −0.107786 0.994174i \(-0.534376\pi\)
−0.396036 + 0.918235i \(0.629614\pi\)
\(360\) −2.56397 0.670873i −0.135133 0.0353581i
\(361\) −3.30851 + 5.73050i −0.174132 + 0.301605i
\(362\) −2.09700 0.613850i −0.110216 0.0322632i
\(363\) −3.66366 + 7.60767i −0.192292 + 0.399299i
\(364\) 18.7900 + 16.8691i 0.984861 + 0.884180i
\(365\) −1.10358 2.29160i −0.0577639 0.119948i
\(366\) 1.68612 + 10.1872i 0.0881350 + 0.532492i
\(367\) 27.9537 + 25.9373i 1.45917 + 1.35391i 0.795648 + 0.605759i \(0.207131\pi\)
0.663524 + 0.748155i \(0.269060\pi\)
\(368\) −11.7719 13.1302i −0.613654 0.684457i
\(369\) −1.52743 1.04139i −0.0795150 0.0542124i
\(370\) 2.64096 + 0.992773i 0.137297 + 0.0516118i
\(371\) −0.842721 1.08413i −0.0437519 0.0562854i
\(372\) −10.2495 5.52959i −0.531414 0.286696i
\(373\) −17.3776 + 10.0330i −0.899778 + 0.519487i −0.877128 0.480256i \(-0.840544\pi\)
−0.0226499 + 0.999743i \(0.507210\pi\)
\(374\) 3.35339 + 13.7731i 0.173400 + 0.712191i
\(375\) 16.4283 11.2006i 0.848352 0.578397i
\(376\) −26.5423 + 16.8962i −1.36882 + 0.871357i
\(377\) −4.91427 + 21.5308i −0.253098 + 1.10889i
\(378\) −6.96224 + 14.5311i −0.358099 + 0.747398i
\(379\) 2.76704 0.631559i 0.142133 0.0324410i −0.150862 0.988555i \(-0.548205\pi\)
0.292996 + 0.956114i \(0.405348\pi\)
\(380\) 8.37445 0.241712i 0.429600 0.0123996i
\(381\) 9.24656 29.9766i 0.473716 1.53575i
\(382\) 3.31966 7.15563i 0.169849 0.366114i
\(383\) 23.1639 7.14512i 1.18362 0.365099i 0.360388 0.932802i \(-0.382644\pi\)
0.823233 + 0.567704i \(0.192168\pi\)
\(384\) −5.93643 + 21.2017i −0.302942 + 1.08195i
\(385\) −12.3111 + 0.768728i −0.627431 + 0.0391780i
\(386\) −15.2052 + 1.36033i −0.773925 + 0.0692391i
\(387\) 5.84726 + 2.29488i 0.297233 + 0.116655i
\(388\) 24.5135 + 2.97435i 1.24449 + 0.151000i
\(389\) 1.15754 + 7.67977i 0.0586896 + 0.389380i 0.998820 + 0.0485650i \(0.0154648\pi\)
−0.940130 + 0.340815i \(0.889297\pi\)
\(390\) 0.943287 15.6055i 0.0477652 0.790216i
\(391\) −11.2831 −0.570613
\(392\) 5.48668 19.0236i 0.277119 0.960836i
\(393\) 18.4401 0.930180
\(394\) −0.180752 + 2.99032i −0.00910616 + 0.150650i
\(395\) −2.27187 15.0729i −0.114310 0.758399i
\(396\) −0.742665 + 6.12079i −0.0373203 + 0.307581i
\(397\) −10.7303 4.21134i −0.538539 0.211361i 0.0804528 0.996758i \(-0.474363\pi\)
−0.618992 + 0.785397i \(0.712459\pi\)
\(398\) 17.8618 1.59801i 0.895333 0.0801008i
\(399\) −2.92303 + 17.8810i −0.146335 + 0.895168i
\(400\) −7.86983 11.9777i −0.393491 0.598884i
\(401\) 31.4356 9.69660i 1.56982 0.484225i 0.616796 0.787123i \(-0.288430\pi\)
0.953023 + 0.302898i \(0.0979543\pi\)
\(402\) 12.8252 27.6450i 0.639661 1.37881i
\(403\) 4.20879 13.6446i 0.209655 0.679684i
\(404\) 0.822832 + 28.5082i 0.0409374 + 1.41833i
\(405\) 12.4665 2.84540i 0.619467 0.141389i
\(406\) 16.8742 3.88674i 0.837451 0.192896i
\(407\) 1.46057 6.39918i 0.0723978 0.317196i
\(408\) 7.56489 + 11.8837i 0.374518 + 0.588331i
\(409\) −0.195955 + 0.133600i −0.00968934 + 0.00660608i −0.568155 0.822922i \(-0.692343\pi\)
0.558466 + 0.829528i \(0.311390\pi\)
\(410\) 0.935320 + 3.84156i 0.0461921 + 0.189721i
\(411\) −25.6297 + 14.7973i −1.26422 + 0.729897i
\(412\) 16.0443 29.7394i 0.790446 1.46515i
\(413\) 23.7428 + 11.8000i 1.16831 + 0.580639i
\(414\) −4.59379 1.72687i −0.225773 0.0848711i
\(415\) 5.85645 + 3.99286i 0.287482 + 0.196002i
\(416\) −26.9138 2.08898i −1.31956 0.102421i
\(417\) 8.52409 + 7.90920i 0.417427 + 0.387315i
\(418\) −3.18267 19.2290i −0.155670 0.940522i
\(419\) −7.22554 15.0040i −0.352991 0.732993i 0.646563 0.762860i \(-0.276206\pi\)
−0.999554 + 0.0298678i \(0.990491\pi\)
\(420\) −11.3359 + 4.66516i −0.553133 + 0.227637i
\(421\) 13.5471 28.1308i 0.660244 1.37101i −0.254537 0.967063i \(-0.581923\pi\)
0.914782 0.403949i \(-0.132363\pi\)
\(422\) −30.1938 8.83858i −1.46981 0.430255i
\(423\) −4.37815 + 7.58317i −0.212873 + 0.368707i
\(424\) 1.42014 + 0.371586i 0.0689683 + 0.0180458i
\(425\) −9.06746 1.36670i −0.439837 0.0662947i
\(426\) −12.3576 20.7081i −0.598726 1.00331i
\(427\) 7.19217 + 6.84179i 0.348053 + 0.331098i
\(428\) 3.28799 + 18.2288i 0.158931 + 0.881123i
\(429\) −36.2696 + 2.71803i −1.75111 + 0.131228i
\(430\) −6.00299 12.0186i −0.289490 0.579590i
\(431\) −6.08756 15.5108i −0.293227 0.747131i −0.999242 0.0389336i \(-0.987604\pi\)
0.706015 0.708197i \(-0.250491\pi\)
\(432\) −3.54547 16.8566i −0.170581 0.811012i
\(433\) −14.9458 18.7414i −0.718247 0.900653i 0.279990 0.960003i \(-0.409669\pi\)
−0.998237 + 0.0593496i \(0.981097\pi\)
\(434\) −11.0674 + 1.69066i −0.531253 + 0.0811543i
\(435\) −8.38199 6.68441i −0.401886 0.320493i
\(436\) 5.04575 11.3005i 0.241648 0.541198i
\(437\) 15.4704 + 1.15935i 0.740051 + 0.0554591i
\(438\) −3.59965 + 4.64989i −0.171998 + 0.222180i
\(439\) −21.6430 + 20.0818i −1.03296 + 0.958450i −0.999160 0.0409786i \(-0.986952\pi\)
−0.0338033 + 0.999429i \(0.510762\pi\)
\(440\) 9.94440 8.66019i 0.474081 0.412859i
\(441\) −1.09208 5.40068i −0.0520040 0.257175i
\(442\) −12.4905 + 11.9294i −0.594113 + 0.567425i
\(443\) 25.4157 + 27.3916i 1.20754 + 1.30142i 0.941325 + 0.337502i \(0.109582\pi\)
0.266213 + 0.963914i \(0.414228\pi\)
\(444\) −0.674919 6.48787i −0.0320302 0.307901i
\(445\) −9.69162 0.726287i −0.459427 0.0344293i
\(446\) 14.0020 5.72986i 0.663015 0.271317i
\(447\) 22.5876 28.3239i 1.06835 1.33967i
\(448\) 7.71954 + 19.7081i 0.364714 + 0.931120i
\(449\) −16.7446 20.9970i −0.790225 0.990911i −0.999914 0.0131425i \(-0.995817\pi\)
0.209689 0.977768i \(-0.432755\pi\)
\(450\) −3.48253 1.94420i −0.164168 0.0916504i
\(451\) 8.56234 3.36047i 0.403185 0.158238i
\(452\) −10.6217 + 29.5430i −0.499605 + 1.38959i
\(453\) 10.6856 0.800779i 0.502056 0.0376239i
\(454\) −14.6717 9.69594i −0.688578 0.455053i
\(455\) −8.31137 12.5224i −0.389643 0.587060i
\(456\) −9.15124 17.0711i −0.428546 0.799429i
\(457\) −17.9694 2.70845i −0.840572 0.126696i −0.285376 0.958416i \(-0.592119\pi\)
−0.555196 + 0.831720i \(0.687357\pi\)
\(458\) 7.79462 36.5750i 0.364219 1.70904i
\(459\) −9.54475 5.51066i −0.445511 0.257216i
\(460\) 4.82505 + 9.32138i 0.224969 + 0.434612i
\(461\) 9.06077 18.8149i 0.422002 0.876296i −0.576254 0.817270i \(-0.695486\pi\)
0.998256 0.0590259i \(-0.0187995\pi\)
\(462\) 14.3080 + 24.6688i 0.665670 + 1.14770i
\(463\) −18.7783 + 9.04316i −0.872703 + 0.420271i −0.815954 0.578117i \(-0.803788\pi\)
−0.0567488 + 0.998388i \(0.518073\pi\)
\(464\) −11.7874 + 14.2736i −0.547218 + 0.662635i
\(465\) 5.08132 + 4.71477i 0.235640 + 0.218642i
\(466\) 0.410535 + 28.4530i 0.0190176 + 1.31806i
\(467\) −14.6659 + 21.5109i −0.678657 + 0.995408i 0.320187 + 0.947354i \(0.396254\pi\)
−0.998845 + 0.0480533i \(0.984698\pi\)
\(468\) −6.91114 + 2.94526i −0.319468 + 0.136145i
\(469\) −6.16343 28.6414i −0.284601 1.32254i
\(470\) 17.8139 5.77759i 0.821693 0.266501i
\(471\) 6.46396 + 11.1959i 0.297844 + 0.515880i
\(472\) −27.8184 + 5.43322i −1.28045 + 0.250084i
\(473\) −25.8234 + 17.6061i −1.18736 + 0.809528i
\(474\) −28.8282 + 20.2701i −1.32412 + 0.931036i
\(475\) 12.2921 + 2.80558i 0.563998 + 0.128729i
\(476\) 12.6860 + 4.74008i 0.581463 + 0.217261i
\(477\) 0.398283 0.0909056i 0.0182361 0.00416228i
\(478\) 14.0809 15.6217i 0.644046 0.714521i
\(479\) 28.4803 + 8.78502i 1.30130 + 0.401398i 0.866521 0.499140i \(-0.166351\pi\)
0.434778 + 0.900538i \(0.356827\pi\)
\(480\) 6.58251 11.3315i 0.300449 0.517209i
\(481\) 7.64227 2.35733i 0.348458 0.107485i
\(482\) −4.83098 + 35.5215i −0.220045 + 1.61796i
\(483\) −21.7723 + 6.42039i −0.990673 + 0.292138i
\(484\) −6.52901 5.71650i −0.296773 0.259841i
\(485\) −13.6815 5.36961i −0.621246 0.243821i
\(486\) −7.16756 8.72653i −0.325127 0.395843i
\(487\) 36.1139 5.44329i 1.63648 0.246659i 0.734552 0.678553i \(-0.237392\pi\)
0.901925 + 0.431893i \(0.142154\pi\)
\(488\) −10.5521 1.12611i −0.477669 0.0509767i
\(489\) 16.2902 0.736667
\(490\) −5.99853 + 10.1435i −0.270986 + 0.458235i
\(491\) 7.21185i 0.325466i 0.986670 + 0.162733i \(0.0520309\pi\)
−0.986670 + 0.162733i \(0.947969\pi\)
\(492\) 6.97925 5.90308i 0.314649 0.266131i
\(493\) 1.76530 + 11.7120i 0.0795050 + 0.527481i
\(494\) 18.3516 15.0731i 0.825678 0.678173i
\(495\) 1.34074 3.41614i 0.0602617 0.153544i
\(496\) 8.28961 8.63336i 0.372214 0.387649i
\(497\) −21.4733 8.73741i −0.963208 0.391927i
\(498\) 2.20836 16.2377i 0.0989588 0.727630i
\(499\) −3.38145 10.9624i −0.151375 0.490744i 0.847845 0.530244i \(-0.177900\pi\)
−0.999220 + 0.0394998i \(0.987424\pi\)
\(500\) 6.58398 + 19.3446i 0.294444 + 0.865116i
\(501\) −7.16894 + 23.2411i −0.320285 + 1.03834i
\(502\) −24.4958 22.0797i −1.09330 0.985466i
\(503\) −4.66031 20.4182i −0.207793 0.910401i −0.966032 0.258424i \(-0.916797\pi\)
0.758239 0.651977i \(-0.226060\pi\)
\(504\) 4.43949 + 3.87144i 0.197751 + 0.172448i
\(505\) 3.77734 16.5496i 0.168089 0.736447i
\(506\) 19.9750 14.0451i 0.887995 0.624379i
\(507\) −10.7131 15.7132i −0.475784 0.697847i
\(508\) 27.1507 + 17.3853i 1.20462 + 0.771347i
\(509\) 9.79074 5.65269i 0.433967 0.250551i −0.267068 0.963678i \(-0.586055\pi\)
0.701035 + 0.713127i \(0.252722\pi\)
\(510\) −2.58678 7.97574i −0.114545 0.353172i
\(511\) −0.0703159 + 5.65263i −0.00311059 + 0.250058i
\(512\) −19.3686 11.6985i −0.855981 0.517007i
\(513\) 12.5207 + 8.53645i 0.552801 + 0.376893i
\(514\) −0.334005 23.1490i −0.0147323 1.02106i
\(515\) −13.6801 + 14.7436i −0.602816 + 0.649681i
\(516\) −18.6566 + 24.8319i −0.821313 + 1.09316i
\(517\) −18.9034 39.2532i −0.831369 1.72635i
\(518\) −4.27431 4.58828i −0.187802 0.201597i
\(519\) −7.40097 3.56412i −0.324867 0.156447i
\(520\) 15.1967 + 5.21740i 0.666418 + 0.228798i
\(521\) 0.619679 1.07332i 0.0271486 0.0470228i −0.852132 0.523327i \(-0.824691\pi\)
0.879281 + 0.476304i \(0.158024\pi\)
\(522\) −1.07378 + 5.03856i −0.0469983 + 0.220532i
\(523\) 2.80848 18.6331i 0.122806 0.814768i −0.839610 0.543190i \(-0.817216\pi\)
0.962416 0.271578i \(-0.0875454\pi\)
\(524\) −5.06118 + 18.2629i −0.221099 + 0.797819i
\(525\) −18.2745 + 2.52239i −0.797565 + 0.110086i
\(526\) 22.8808 34.6228i 0.997649 1.50962i
\(527\) −0.572284 7.63659i −0.0249291 0.332655i
\(528\) −28.1850 11.6215i −1.22659 0.505760i
\(529\) −1.30200 3.31744i −0.0566087 0.144237i
\(530\) −0.762895 0.425902i −0.0331380 0.0185000i
\(531\) −6.16713 + 4.91812i −0.267630 + 0.213428i
\(532\) −16.9069 7.80266i −0.733006 0.338288i
\(533\) 8.76237 + 6.98776i 0.379540 + 0.302673i
\(534\) 8.50985 + 20.7954i 0.368257 + 0.899907i
\(535\) 0.823892 10.9941i 0.0356200 0.475316i
\(536\) 23.8593 + 20.2895i 1.03057 + 0.876375i
\(537\) −30.8443 + 28.6194i −1.33103 + 1.23502i
\(538\) 9.13881 8.72829i 0.394002 0.376303i
\(539\) 25.2633 + 10.6477i 1.08817 + 0.458630i
\(540\) −0.470888 + 10.2418i −0.0202638 + 0.440736i
\(541\) −8.72411 9.40235i −0.375079 0.404239i 0.517097 0.855927i \(-0.327013\pi\)
−0.892176 + 0.451688i \(0.850822\pi\)
\(542\) 11.8648 + 9.18501i 0.509638 + 0.394530i
\(543\) 0.224692 2.99830i 0.00964245 0.128670i
\(544\) −13.8458 + 4.23053i −0.593634 + 0.181383i
\(545\) −4.59271 + 5.75908i −0.196730 + 0.246692i
\(546\) −17.3139 + 30.1268i −0.740967 + 1.28931i
\(547\) 11.3057 9.01597i 0.483395 0.385495i −0.351251 0.936281i \(-0.614244\pi\)
0.834646 + 0.550786i \(0.185672\pi\)
\(548\) −7.62064 29.4447i −0.325538 1.25782i
\(549\) −2.74913 + 1.07895i −0.117330 + 0.0460486i
\(550\) 17.7537 8.86750i 0.757020 0.378112i
\(551\) −1.21700 16.2398i −0.0518461 0.691838i
\(552\) 14.2948 19.6092i 0.608428 0.834622i
\(553\) −10.3879 + 32.2470i −0.441738 + 1.37128i
\(554\) 3.57428 + 5.98958i 0.151857 + 0.254473i
\(555\) −0.578647 + 3.83907i −0.0245622 + 0.162960i
\(556\) −10.1728 + 6.27138i −0.431422 + 0.265966i
\(557\) 8.60876 + 4.97027i 0.364765 + 0.210597i 0.671169 0.741304i \(-0.265792\pi\)
−0.306404 + 0.951902i \(0.599126\pi\)
\(558\) 0.935772 3.19673i 0.0396144 0.135328i
\(559\) −34.3102 16.5229i −1.45117 0.698846i
\(560\) −1.50903 12.5074i −0.0637681 0.528532i
\(561\) −17.5747 + 8.46353i −0.742005 + 0.357331i
\(562\) 5.20465 + 31.4454i 0.219545 + 1.32644i
\(563\) 8.01839 8.64177i 0.337935 0.364207i −0.541105 0.840955i \(-0.681994\pi\)
0.879040 + 0.476748i \(0.158184\pi\)
\(564\) −30.3526 30.8758i −1.27807 1.30010i
\(565\) 10.5262 15.4391i 0.442841 0.649529i
\(566\) −6.14168 + 16.3380i −0.258154 + 0.686737i
\(567\) −27.6269 6.66825i −1.16022 0.280040i
\(568\) 23.9009 6.55515i 1.00286 0.275048i
\(569\) 12.4182 + 21.5089i 0.520597 + 0.901701i 0.999713 + 0.0239491i \(0.00762398\pi\)
−0.479116 + 0.877752i \(0.659043\pi\)
\(570\) 2.72725 + 11.2014i 0.114232 + 0.469175i
\(571\) 24.4496 + 35.8609i 1.02318 + 1.50073i 0.857454 + 0.514561i \(0.172045\pi\)
0.165728 + 0.986172i \(0.447003\pi\)
\(572\) 7.26285 36.6671i 0.303675 1.53313i
\(573\) 10.5825 + 2.41539i 0.442092 + 0.100905i
\(574\) 1.93837 8.57110i 0.0809061 0.357751i
\(575\) 3.51492 + 15.3999i 0.146582 + 0.642220i
\(576\) −6.28463 0.396674i −0.261859 0.0165281i
\(577\) −40.1603 12.3878i −1.67189 0.515711i −0.693149 0.720795i \(-0.743777\pi\)
−0.978744 + 0.205084i \(0.934253\pi\)
\(578\) 6.21933 13.4060i 0.258690 0.557615i
\(579\) −6.19193 20.0737i −0.257328 0.834236i
\(580\) 8.92075 6.46680i 0.370414 0.268519i
\(581\) −7.70655 13.7401i −0.319722 0.570033i
\(582\) 3.02790 + 33.8446i 0.125511 + 1.40290i
\(583\) −0.742614 + 1.89215i −0.0307559 + 0.0783649i
\(584\) −3.61723 4.84130i −0.149682 0.200334i
\(585\) 4.42155 0.666441i 0.182808 0.0275539i
\(586\) 1.77911 29.4332i 0.0734946 1.21588i
\(587\) 20.5741i 0.849186i 0.905384 + 0.424593i \(0.139583\pi\)
−0.905384 + 0.424593i \(0.860417\pi\)
\(588\) 27.1765 + 1.92793i 1.12074 + 0.0795066i
\(589\) 10.5294i 0.433857i
\(590\) 16.8397 + 1.01789i 0.693279 + 0.0419058i
\(591\) −4.07636 + 0.614412i −0.167679 + 0.0252735i
\(592\) 6.61077 + 1.11227i 0.271701 + 0.0457139i
\(593\) −4.78755 + 12.1985i −0.196601 + 0.500931i −0.994845 0.101402i \(-0.967667\pi\)
0.798245 + 0.602334i \(0.205762\pi\)
\(594\) 23.7570 2.12542i 0.974761 0.0872069i
\(595\) −6.60300 4.62319i −0.270696 0.189532i
\(596\) 21.8522 + 30.1445i 0.895102 + 1.23476i
\(597\) 7.27377 + 23.5810i 0.297695 + 0.965105i
\(598\) 26.9897 + 12.5211i 1.10369 + 0.512026i
\(599\) −24.7697 7.64044i −1.01206 0.312180i −0.255998 0.966677i \(-0.582404\pi\)
−0.756065 + 0.654497i \(0.772880\pi\)
\(600\) 13.8629 14.0270i 0.565952 0.572650i
\(601\) −4.03976 17.6993i −0.164785 0.721971i −0.988027 0.154281i \(-0.950694\pi\)
0.823242 0.567691i \(-0.192163\pi\)
\(602\) 0.0593789 + 29.8588i 0.00242010 + 1.21695i
\(603\) 8.49768 + 1.93954i 0.346052 + 0.0789841i
\(604\) −2.13976 + 10.8028i −0.0870657 + 0.439558i
\(605\) 2.90962 + 4.26762i 0.118293 + 0.173504i
\(606\) −38.1317 + 9.28406i −1.54899 + 0.377139i
\(607\) 7.64552 + 13.2424i 0.310322 + 0.537494i 0.978432 0.206569i \(-0.0662298\pi\)
−0.668110 + 0.744063i \(0.732896\pi\)
\(608\) 19.4188 4.37786i 0.787536 0.177546i
\(609\) 10.0708 + 21.5953i 0.408088 + 0.875084i
\(610\) 5.91233 + 2.22253i 0.239383 + 0.0899875i
\(611\) 29.9039 43.8609i 1.20978 1.77442i
\(612\) −2.87324 + 2.82455i −0.116144 + 0.114176i
\(613\) 4.18470 4.51003i 0.169018 0.182158i −0.642863 0.765982i \(-0.722253\pi\)
0.811881 + 0.583823i \(0.198444\pi\)
\(614\) 14.5877 2.41447i 0.588712 0.0974402i
\(615\) −4.90189 + 2.36063i −0.197663 + 0.0951897i
\(616\) −28.3589 + 7.39980i −1.14261 + 0.298147i
\(617\) 15.9282 + 7.67060i 0.641244 + 0.308807i 0.726103 0.687586i \(-0.241330\pi\)
−0.0848590 + 0.996393i \(0.527044\pi\)
\(618\) 44.6265 + 13.0634i 1.79514 + 0.525487i
\(619\) −27.4551 15.8512i −1.10351 0.637113i −0.166371 0.986063i \(-0.553205\pi\)
−0.937141 + 0.348950i \(0.886538\pi\)
\(620\) −6.06411 + 3.73844i −0.243541 + 0.150140i
\(621\) −2.82960 + 18.7731i −0.113548 + 0.753341i
\(622\) 3.82180 2.28066i 0.153240 0.0914460i
\(623\) 18.5709 + 11.0322i 0.744029 + 0.441995i
\(624\) −4.90791 36.8211i −0.196474 1.47402i
\(625\) 0.429857 + 5.73605i 0.0171943 + 0.229442i
\(626\) −4.14759 8.30392i −0.165771 0.331892i
\(627\) 24.9665 9.79862i 0.997065 0.391319i
\(628\) −12.8625 + 3.32895i −0.513268 + 0.132840i
\(629\) 3.35345 2.67429i 0.133711 0.106631i
\(630\) −1.98075 2.89286i −0.0789152 0.115254i
\(631\) −18.3421 + 23.0003i −0.730189 + 0.915628i −0.998866 0.0476022i \(-0.984842\pi\)
0.268677 + 0.963230i \(0.413413\pi\)
\(632\) −12.1630 34.1147i −0.483816 1.35701i
\(633\) 3.23525 43.1714i 0.128590 1.71591i
\(634\) 12.9999 16.7927i 0.516291 0.666924i
\(635\) −13.0520 14.0667i −0.517952 0.558220i
\(636\) −0.0927761 + 2.01787i −0.00367881 + 0.0800139i
\(637\) 4.15546 + 33.1449i 0.164645 + 1.31325i
\(638\) −17.7040 18.5367i −0.700909 0.733875i
\(639\) 5.05598 4.69126i 0.200011 0.185583i
\(640\) 9.41591 + 9.62936i 0.372197 + 0.380634i
\(641\) −1.91825 + 25.5972i −0.0757662 + 1.01103i 0.821692 + 0.569931i \(0.193030\pi\)
−0.897459 + 0.441099i \(0.854589\pi\)
\(642\) −23.5901 + 9.65348i −0.931029 + 0.380993i
\(643\) 33.2819 + 26.5415i 1.31251 + 1.04669i 0.995148 + 0.0983889i \(0.0313689\pi\)
0.317363 + 0.948304i \(0.397203\pi\)
\(644\) −0.382945 23.3252i −0.0150902 0.919143i
\(645\) 14.4535 11.5263i 0.569105 0.453846i
\(646\) 6.20849 11.1209i 0.244270 0.437547i
\(647\) −3.61345 9.20692i −0.142059 0.361961i 0.842081 0.539350i \(-0.181330\pi\)
−0.984141 + 0.177389i \(0.943235\pi\)
\(648\) 27.7755 12.3133i 1.09112 0.483713i
\(649\) −2.93299 39.1380i −0.115130 1.53630i
\(650\) 20.1730 + 13.3315i 0.791251 + 0.522905i
\(651\) −5.44970 14.4101i −0.213591 0.564778i
\(652\) −4.47109 + 16.1336i −0.175102 + 0.631842i
\(653\) −1.71934 + 11.4071i −0.0672831 + 0.446394i 0.929670 + 0.368393i \(0.120092\pi\)
−0.996953 + 0.0780011i \(0.975146\pi\)
\(654\) 16.6560 + 3.54962i 0.651302 + 0.138801i
\(655\) 5.63991 9.76861i 0.220369 0.381691i
\(656\) 3.93079 + 8.53238i 0.153472 + 0.333133i
\(657\) −1.51530 0.729729i −0.0591174 0.0284694i
\(658\) −41.1702 6.12170i −1.60498 0.238649i
\(659\) 11.7610 + 24.4219i 0.458142 + 0.951342i 0.994239 + 0.107185i \(0.0341838\pi\)
−0.536097 + 0.844156i \(0.680102\pi\)
\(660\) 14.5075 + 10.8998i 0.564705 + 0.424272i
\(661\) −11.0680 + 11.9284i −0.430493 + 0.463962i −0.910624 0.413235i \(-0.864399\pi\)
0.480131 + 0.877197i \(0.340589\pi\)
\(662\) −23.0816 + 0.333032i −0.897090 + 0.0129437i
\(663\) −19.6377 13.3888i −0.762665 0.519976i
\(664\) 15.4756 + 6.64384i 0.600569 + 0.257831i
\(665\) 8.57839 + 7.01736i 0.332656 + 0.272122i
\(666\) 1.77461 0.575562i 0.0687648 0.0223026i
\(667\) 17.6693 10.2014i 0.684159 0.394999i
\(668\) −21.0502 13.4790i −0.814456 0.521516i
\(669\) 11.7276 + 17.2012i 0.453413 + 0.665035i
\(670\) −10.7223 15.2493i −0.414240 0.589134i
\(671\) 3.26979 14.3259i 0.126229 0.553045i
\(672\) −24.3100 + 16.0420i −0.937778 + 0.618832i
\(673\) −5.01767 21.9839i −0.193417 0.847415i −0.974750 0.223300i \(-0.928317\pi\)
0.781333 0.624115i \(-0.214540\pi\)
\(674\) −29.2036 + 32.3992i −1.12488 + 1.24797i
\(675\) −4.54789 + 14.7439i −0.175048 + 0.567493i
\(676\) 18.5026 6.29739i 0.711637 0.242207i
\(677\) 2.79167 + 9.05038i 0.107293 + 0.347834i 0.993259 0.115915i \(-0.0369800\pi\)
−0.885966 + 0.463749i \(0.846504\pi\)
\(678\) −42.8069 5.82180i −1.64399 0.223585i
\(679\) 21.9191 + 24.2205i 0.841177 + 0.929498i
\(680\) 8.60909 0.372856i 0.330143 0.0142984i
\(681\) 8.84115 22.5269i 0.338794 0.863232i
\(682\) 10.5190 + 12.8070i 0.402795 + 0.490404i
\(683\) −4.09222 27.1501i −0.156584 1.03887i −0.919704 0.392613i \(-0.871571\pi\)
0.763119 0.646257i \(-0.223667\pi\)
\(684\) 4.22975 3.57754i 0.161729 0.136791i
\(685\) 18.1030i 0.691681i
\(686\) 21.9725 14.2551i 0.838915 0.544262i
\(687\) 51.4601 1.96332
\(688\) −19.4727 25.2929i −0.742389 0.964282i
\(689\) −2.44903 + 0.369132i −0.0933005 + 0.0140628i
\(690\) −11.1612 + 9.16732i −0.424902 + 0.348994i
\(691\) −33.1855 13.0244i −1.26244 0.495470i −0.362701 0.931906i \(-0.618145\pi\)
−0.899735 + 0.436436i \(0.856241\pi\)
\(692\) 5.56119 6.35162i 0.211405 0.241453i
\(693\) −6.04763 + 5.47298i −0.229730 + 0.207901i
\(694\) −21.3377 2.90196i −0.809969 0.110157i
\(695\) 6.79698 2.09659i 0.257824 0.0795282i
\(696\) −22.5909 11.7702i −0.856307 0.446147i
\(697\) 5.74370 + 1.77170i 0.217558 + 0.0671078i
\(698\) −1.84520 1.66320i −0.0698417 0.0629531i
\(699\) −38.1757 + 8.71335i −1.44394 + 0.329569i
\(700\) 2.51758 18.7912i 0.0951557 0.710242i
\(701\) 13.6543 + 3.11651i 0.515717 + 0.117709i 0.472455 0.881355i \(-0.343368\pi\)
0.0432620 + 0.999064i \(0.486225\pi\)
\(702\) 16.7161 + 23.7737i 0.630907 + 0.897279i
\(703\) −4.87273 + 3.32217i −0.183778 + 0.125298i
\(704\) 19.2456 24.7245i 0.725347 0.931839i
\(705\) 12.8851 + 22.3176i 0.485281 + 0.840531i
\(706\) −9.25337 28.5306i −0.348255 1.07376i
\(707\) −23.8884 + 29.2024i −0.898416 + 1.09827i
\(708\) −15.2911 35.8810i −0.574675 1.34849i
\(709\) 7.35062 10.7814i 0.276058 0.404903i −0.663023 0.748599i \(-0.730727\pi\)
0.939081 + 0.343696i \(0.111679\pi\)
\(710\) −14.7497 + 0.212816i −0.553545 + 0.00798682i
\(711\) −7.38869 6.85571i −0.277098 0.257109i
\(712\) −22.9313 + 2.72043i −0.859386 + 0.101953i
\(713\) −11.8852 + 5.72361i −0.445104 + 0.214351i
\(714\) −2.74085 + 18.4330i −0.102574 + 0.689837i
\(715\) −9.65318 + 20.0450i −0.361009 + 0.749642i
\(716\) −19.8786 38.4030i −0.742899 1.43519i
\(717\) 25.0631 + 14.4702i 0.935999 + 0.540399i
\(718\) 13.3528 + 2.84566i 0.498322 + 0.106199i
\(719\) −4.92536 0.742378i −0.183685 0.0276860i 0.0565556 0.998399i \(-0.481988\pi\)
−0.240240 + 0.970713i \(0.577226\pi\)
\(720\) 3.56215 + 1.16581i 0.132753 + 0.0434470i
\(721\) 41.8115 15.8125i 1.55714 0.588888i
\(722\) 5.15938 7.80709i 0.192012 0.290550i
\(723\) −49.1922 + 3.68645i −1.82948 + 0.137100i
\(724\) 2.90782 + 1.04546i 0.108068 + 0.0388544i
\(725\) 15.4353 6.05789i 0.573251 0.224984i
\(726\) 5.82090 10.4267i 0.216034 0.386969i
\(727\) −2.00713 2.51686i −0.0744402 0.0933451i 0.743217 0.669050i \(-0.233299\pi\)
−0.817657 + 0.575705i \(0.804728\pi\)
\(728\) −25.0852 25.4163i −0.929720 0.941991i
\(729\) −10.4035 + 13.0455i −0.385314 + 0.483168i
\(730\) 1.36232 + 3.32908i 0.0504215 + 0.123215i
\(731\) −20.3666 1.52626i −0.753284 0.0564508i
\(732\) −1.51095 14.5245i −0.0558462 0.536839i
\(733\) 18.9353 + 20.4073i 0.699390 + 0.753763i 0.978444 0.206513i \(-0.0662115\pi\)
−0.279054 + 0.960275i \(0.590021\pi\)
\(734\) −37.2473 38.9992i −1.37482 1.43949i
\(735\) −15.3720 5.16378i −0.567006 0.190469i
\(736\) 15.4973 + 19.5395i 0.571238 + 0.720235i
\(737\) −31.7912 + 29.4980i −1.17105 + 1.08657i
\(738\) 2.06732 + 1.60039i 0.0760992 + 0.0589112i
\(739\) −16.5059 1.23695i −0.607180 0.0455019i −0.232407 0.972619i \(-0.574660\pi\)
−0.374773 + 0.927117i \(0.622279\pi\)
\(740\) −3.64336 1.62678i −0.133933 0.0598017i
\(741\) 25.5497 + 20.3752i 0.938593 + 0.748503i
\(742\) 1.09711 + 1.60231i 0.0402762 + 0.0588226i
\(743\) 15.6751 + 19.6560i 0.575064 + 0.721107i 0.981262 0.192678i \(-0.0617173\pi\)
−0.406198 + 0.913785i \(0.633146\pi\)
\(744\) 13.9968 + 8.68035i 0.513148 + 0.318237i
\(745\) −8.09612 20.6286i −0.296619 0.755773i
\(746\) 25.3870 12.6801i 0.929482 0.464252i
\(747\) 4.67381 0.350254i 0.171006 0.0128151i
\(748\) −3.55855 19.7288i −0.130113 0.721356i
\(749\) −12.5148 + 21.0667i −0.457281 + 0.769760i
\(750\) −24.1465 + 14.4094i −0.881705 + 0.526157i
\(751\) −2.16209 0.325883i −0.0788958 0.0118916i 0.109476 0.993989i \(-0.465083\pi\)
−0.188372 + 0.982098i \(0.560321\pi\)
\(752\) 38.9098 21.5866i 1.41890 0.787181i
\(753\) 22.6901 39.3004i 0.826874 1.43219i
\(754\) 8.77434 29.9744i 0.319543 1.09160i
\(755\) 2.84400 5.90562i 0.103504 0.214928i
\(756\) 11.0681 19.9185i 0.402541 0.724431i
\(757\) −12.5969 26.1578i −0.457843 0.950721i −0.994282 0.106782i \(-0.965945\pi\)
0.536439 0.843939i \(-0.319769\pi\)
\(758\) −3.95995 + 0.655427i −0.143832 + 0.0238062i
\(759\) 24.6317 + 22.8549i 0.894074 + 0.829579i
\(760\) −11.8423 0.373361i −0.429566 0.0135432i
\(761\) 14.2774 + 9.73415i 0.517555 + 0.352863i 0.793755 0.608237i \(-0.208123\pi\)
−0.276201 + 0.961100i \(0.589075\pi\)
\(762\) −15.6106 + 41.5271i −0.565513 + 1.50437i
\(763\) 14.8376 6.91940i 0.537158 0.250499i
\(764\) −5.29673 + 9.81790i −0.191629 + 0.355199i
\(765\) 2.07684 1.19906i 0.0750882 0.0433522i
\(766\) −33.3087 + 8.10980i −1.20349 + 0.293019i
\(767\) 39.5118 26.9387i 1.42669 0.972700i
\(768\) 10.1892 29.4226i 0.367670 1.06170i
\(769\) −5.33196 + 23.3608i −0.192275 + 0.842413i 0.783106 + 0.621888i \(0.213634\pi\)
−0.975381 + 0.220525i \(0.929223\pi\)
\(770\) 17.4444 0.0346909i 0.628652 0.00125017i
\(771\) 31.0592 7.08906i 1.11857